Optimization of short coherent control pulses

被引:47
作者
Pasini, S. [1 ]
Fischer, T. [1 ]
Karbach, P. [1 ]
Uhrig, G. S. [1 ]
机构
[1] Tech Univ Dortmund, Lehrstuhl Theoret Phys 1, D-44221 Dortmund, Germany
来源
PHYSICAL REVIEW A | 2008年 / 77卷 / 03期
关键词
D O I
10.1103/PhysRevA.77.032315
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
The coherent control of a small quantum system is considered. For a two-level system coupled to an arbitrary bath we consider a pulse of finite duration. We derive the leading and the next-leading order corrections to the evolution operator due to the noncommutation of the pulse and the bath Hamiltonian. The conditions are computed that make the leading corrections vanish. The pulse shapes optimized in this way are given for pi and pi/2 pulses.
引用
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页数:9
相关论文
共 27 条
[1]  
Ban M, 1998, J MOD OPTIC, V45, P2315, DOI 10.1080/09500349808231241
[2]   Arbitrarily accurate composite pulse sequences [J].
Brown, KR ;
Harrow, AW ;
Chuang, IL .
PHYSICAL REVIEW A, 2004, 70 (05) :052318-1
[3]   Principles of control for decoherence-free subsystems [J].
Cappellaro, P. ;
Hodges, J. S. ;
Havel, T. F. ;
Cory, D. G. .
JOURNAL OF CHEMICAL PHYSICS, 2006, 125 (04)
[4]   Tackling systematic errors in quantum logic gates with composite rotations [J].
Cummins, HK ;
Llewellyn, G ;
Jones, JA .
PHYSICAL REVIEW A, 2003, 67 (04) :7
[5]   Use of composite rotations to correct systematic errors in NMR quantum computation [J].
Cummins, HK ;
Jones, JA .
NEW JOURNAL OF PHYSICS, 2000, 2 :61-612
[6]   Control of decoherence: Analysis and comparison of three different strategies [J].
Facchi, P ;
Tasaki, S ;
Pascazio, S ;
Nakazato, H ;
Tokuse, A ;
Lidar, DA .
PHYSICAL REVIEW A, 2005, 71 (02)
[7]   BAND-SELECTIVE RADIOFREQUENCY PULSES [J].
GEEN, H ;
FREEMAN, R .
JOURNAL OF MAGNETIC RESONANCE, 1991, 93 (01) :93-141
[8]   Optical control of spin coherence in singly charged (In,Ga)As/GaAs quantum dots [J].
Greilich, A. ;
Oulton, R. ;
Zhukov, E. A. ;
Yugova, I. A. ;
Yakovlev, D. R. ;
Bayer, M. ;
Shabaev, A. ;
Efros, Al. L. ;
Merkulov, I. A. ;
Stavarache, V. ;
Reuter, D. ;
Wieck, A. .
PHYSICAL REVIEW LETTERS, 2006, 96 (22)
[9]   Mode locking of electron spin coherences in singly charged quantum dots [J].
Greilich, A. ;
Yakovlev, D. R. ;
Shabaev, A. ;
Efros, Al. L. ;
Yugova, I. A. ;
Oulton, R. ;
Stavarache, V. ;
Reuter, D. ;
Wieck, A. ;
Bayer, M. .
SCIENCE, 2006, 313 (5785) :341-345
[10]  
Haeberlen U, 1976, ADV MAGN RESON